33628 ÷ 8 = 4203 R4
Alright, let's work through the division of 33628 by 8 step by step.

Step 1:
8 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 3 to get 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 8

Step 2:
8 goes into 33 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 4
Subtract 32 from 33 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 8

Step 3:
8 goes into 16 2 times with a remainder of 0.
Write down 2 as next digit of of the result. 
Result so far: 42
Subtract 16 from 16 to get 0.
Bring next digit (2) of the dividend behind the 0 and repeat the process: 2 / 8

Step 4:
8 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 420
Subtract 0 from 2 to get 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 8

Step 5:
8 goes into 28 3 times with a remainder of 4.
Write down 3 as next digit of of the result. 
Result so far: 4203
Subtract 24 from 28 to get 4.

The final result is 4203 with a remainder of 4.